TABLE 4.
The Bias, empirical standard error (SE) and relative efficiency (RE) of the TIPW estimator, the proposed AIPW estimator, the nonparametric method based estimator (NP) and the CLR based estimator (CLR). For the proposed AIPW estimator, we also calculated the average of the estimated standard error (ASE), empirical coverage probabilities (CP) of the 95% CIs (×100).
Bias | SE | RE | AIPW | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
true | TIPW | AIPW | NP | CLR | TIPW | AIPW | NP | CLR | TIPW | AIPW | NP | CLR | ASE | CP | |
0.693 | 0.022 | 0.053 | 0.006 | 0.022 | 0.122 | 0.103 | 0.106 | 0.108 | 1.000 | 1.152 | 1.372 | 1.275 | 0.105 | 93.5 | |
1.099 | −0.062 | −0.008 | −0.027 | 0.043 | 0.116 | 0.087 | 0.085 | 0.193 | 1.000 | 2.245 | 2.146 | 0.440 | 0.093 | 94.9 | |
TPR | 0.457 | −0.044 | −0.009 | −0.036 | 0.047 | 0.038 | 0.043 | 1.000 | 2.623 | 1.305 | 0.038 | 91.5 | |||
PPV | 0.163 | 0.004 | −0.002 | 0.002 | 0.022 | 0.016 | 0.020 | 1.000 | 1.866 | 1.291 | 0.016 | 94.9 | |||
NPV | 0.988 | −0.003 | −0.000 | −0.002 | 0.002 | 0.001 | 0.002 | 1.000 | 8.090 | 1.539 | 0.001 | 95.9 | |||
TPR | 0.601 | −0.049 | −0.008 | −0.039 | 0.045 | 0.034 | 0.038 | 1.000 | 3.471 | 1.465 | 0.036 | 93.3 | |||
PPV | 0.113 | 0.005 | −0.000 | 0.004 | 0.014 | 0.010 | 0.012 | 1.000 | 2.334 | 1.446 | 0.010 | 95.9 | |||
NPV | 0.991 | −0.003 | −0.001 | −0.002 | 0.002 | 0.001 | 0.001 | 1.000 | 8.275 | 1.503 | 0.001 | 95.1 | |||
TPR | 0.757 | −0.047 | −0.005 | −0.035 | 0.037 | 0.028 | 0.031 | 1.000 | 4.325 | 1.631 | 0.031 | 96.1 | |||
PPV | 0.075 | 0.005 | −0.001 | 0.003 | 0.008 | 0.006 | 0.007 | 1.000 | 2.804 | 1.482 | 0.006 | 96.7 | |||
NPV | 0.994 | −0.003 | −0.001 | −0.002 | 0.001 | 0.001 | 0.001 | 1.000 | 8.069 | 1.548 | 0.001 | 93.3 |